8611881168 has 160 divisors (see below), whose sum is σ = 25404088320. Its totient is φ = 2488414720.

The previous prime is 8611881167. The next prime is 8611881169.

8611881168 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8611881167) and next prime (8611881169).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8611881163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4723105 + ... + 4724927.

It is an arithmetic number, because the mean of its divisors is an integer number (158775552).

Almost surely, 2^8611881168 is an apocalyptic number.

8611881168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8611881168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702044160).

8611881168 is an abundant number, since it is smaller than the sum of its proper divisors (16792207152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8611881168 is a wasteful number, since it uses less digits than its factorization.

8611881168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2251 counting only the distinct ones).

The product of its digits is 147456, while the sum is 48.

The square root of 8611881168 is about 92800.2218100797. The cubic root of 8611881168 is about 2049.7426738675.

The spelling of 8611881168 in words is "eight billion, six hundred eleven million, eight hundred eighty-one thousand, one hundred sixty-eight".